Translation of a function y = h(x) to the right/left is given by y = h(x + a) for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units
Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down
So, translating f(x) = x² eight units right and two units up gives:
g(x) = (x-8)² + 2
Calculate the length of each path using the law of cosines:
AB = √(8^2 + 8^2 - 2*8*8*cos(36)
AB = 4.94 ft.
XY = √(8^2 + 8^2 - 2*8*8*cos(79)
XY = 10.18 ft.
ZY = √(8^2 + 8^2 - 2*8*8*cos(65)
ZY = 8.60 ft.
XY is longer than ZY and ZY is longer than AB
The first choice is correct.
Answer:
Step-by-step explanation:
The $2,000 upfront payment by Hank means that the relationship between the total amount paid and the number of months elapsed is NOT linear. On the other hand, the girl's zero down payment indicates a linear, proportional relationship.
It looks like your equation repeated twice. I'm assuming it's 6x + y = 6.
I'm going to put your equation into slope-intercept form: y = - 6x + 6.
For the slope to be perpendicular, we do the opposite reciprocal of the slope given. So your slope of a perpendicular line is 1/6.
